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"If you closely compare the spectrum of the moon with the spectrum of the sun, you will see the spectrum of the moon is the same — confirming that moonlight is the same as sunlight."
https://tucson.com/lifestyles/recreation/moons-spectrum-of-color-same-as-suns/article_6b823fc3-487e-5e7e-9a60-b6bd15c25ec2.html
Is moonlight 'silver' or 'cold'? In this paper we discuss the interesting combination of factors that contribute to the common descriptions of moonlight. Sunlight is reflected from the lunar surface and red-shifted. When traversing the atmosphere, moonlight is further depleted of short wavelength content by Rayleigh scattering. We measured the spectra of the moonlight to show these effects and compared them with sunlight. All measurements, including spectral reflectance, suggest that moonlight is redder than sunlight.
https://www.researchgate.net/publication/258265069_By_the_light_of_the_silvery_Moon_Fact_and_fiction
[Moon soil samples] NASA measured the reflectance of Moon dust from different regions in controlled laboratory settings [9]. The results suggest that the spectral content of moonlight is richer towards the red part of the spectrum; in the visible range (400-700 nm), Moon dust reflects approximately 10% more light at the red end than the blue end (see figure 2). Considering the scattering from lunar surface regolith, moonlight should appear redder than sunlight at the same elevation.